Abstract
In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak* closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control.
| Original language | English |
|---|---|
| Pages (from-to) | 195-202 |
| Number of pages | 8 |
| Journal | Comptes Rendus Mathematique |
| Volume | 362 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- decomposition
- existence
- multi-valued control
- optimality condition
- uniqueness